Uniqueness of an inverse problem for an integro-differential equation related to the Basset problem

DOI10.1186/s13661-014-0229-9zbMath1432.35261OpenAlexW2148910866WikidataQ59324583 ScholiaQ59324583MaRDI QIDQ481581

Jun Yu, Bin Wu

Publication date: 12 December 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-014-0229-9

zbMATH Keywords

uniquenessinverse problemsBasset problem

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Inverse problems for PDEs (35R30) Wave equation (35L05) Second-order hyperbolic equations (35L10) Integro-partial differential equations (35R09)

Related Items (10)

Reconstruction of the Volterra-type integro-differential operator from nodal points ⋮ Solving the Basset equation via Chebyshev collocation and LDG methods ⋮ Bounded solutions of second order of accuracy difference schemes for semilinear fractional Schrödinger equations ⋮ An integro quadratic spline approach for a class of variable-order fractional initial value problems ⋮ Inverse nodal problems for Dirac-type integro-differential operators ⋮ On regularity and stability for a class of nonlocal evolution equations with nonlinear perturbations ⋮ Inverse Nodal Problems for Dirac-Type Integro-Differential Operators with Linear Functions in the Boundary Condition ⋮ Reconstruction of the Dirac-Type Integro-Differential Operator From Nodal Data ⋮ A note on fractional powers of strongly positive operators and their applications ⋮ Inverse problems for one dimensional conformable fractional Dirac type integro differential system

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Optimal order finite element approximation for a hyperbolic integro-differential equation
• Existence of mild solutions for fractional integrodifferential equations of Sobolev type with nonlocal conditions
• Stability of difference schemes for fractional parabolic PDE with the Dirichlet-Neumann conditions
• \(r\)-modified Crank-Nicolson difference scheme for fractional parabolic PDE
• Well-posedness of the Basset problem in spaces of smooth functions
• A global in time existence and uniqueness result for an integrodifferential hyperbolic inverse problem with memory effect
• On the numerical solution of fractional parabolic partial differential equations with the Dirichlet condition
• Identification of the memory kernel in the strongly damped wave equation by a flux condition
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• FDM for fractional parabolic equations with the Neumann condition
• Well-posedness of fractional parabolic equations
• Maximum principle for the generalized time-fractional diffusion equation
• Identification of two memory kernels in a fully hyperbolic phase-field system
• Weakly Singular Discrete Gronwall Inequalities
• Identification of Weakly Singular Memory Kernels in Heat Conduction
• A GLOBAL IN TIME EXISTENCE AND UNIQUENESS RESULT FOR A SEMILINEAR INTEGRODIFFERENTIAL PARABOLIC INVERSE PROBLEM IN SOBOLEV SPACES
• A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations

This page was built for publication: Uniqueness of an inverse problem for an integro-differential equation related to the Basset problem